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Mathematics > Statistics Theory

arXiv:2206.01357 (math)
[Submitted on 3 Jun 2022]

Title:Beta Generalized Normal Distribution with an Application for SAR Image Processing

Authors:R. J. Cintra, L. C. Rêgo, G. M. Cordeiro, A. D. C. Nascimento
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Abstract:We introduce the beta generalized normal distribution which is obtained by compounding the beta and generalized normal [Nadarajah, S., A generalized normal distribution, \emph{Journal of Applied Statistics}. 32, 685--694, 2005] distributions. The new model includes as sub-models the beta normal, beta Laplace, normal, and Laplace distributions. The shape of the new distribution is quite flexible, specially the skewness and the tail weights, due to two additional parameters. We obtain general expansions for the moments. The estimation of the parameters is investigated by maximum likelihood. We also proposed a random number generator for the new distribution. Actual synthetic aperture radar were analyzed and modeled after the new distribution. Results could outperform the $\mathcal{G}^0$, $\mathcal{K}$, and $\Gamma$ distributions in several scenarios.
Comments: 17 pages, 2 tables, 6 figures
Subjects: Statistics Theory (math.ST); Image and Video Processing (eess.IV); Probability (math.PR); Data Analysis, Statistics and Probability (physics.data-an)
Cite as: arXiv:2206.01357 [math.ST]
  (or arXiv:2206.01357v1 [math.ST] for this version)
  https://doi.org/10.48550/arXiv.2206.01357
Journal reference: A Journal of Theoretical and Applied Statistics, vol. 48, no. 2, 2014
Related DOI: https://doi.org/10.1080/02331888.2012.748776

Submission history

From: R J Cintra [view email]
[v1] Fri, 3 Jun 2022 01:18:52 UTC (478 KB)
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